463040640 has 192 divisors, whose sum is σ = 1683489600. Its totient is φ = 116951040.

The previous prime is 463040609. The next prime is 463040647. The reversal of 463040640 is 46040364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (463040647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107325 + ... + 111555.

It is an arithmetic number, because the mean of its divisors is an integer number (8768175).

Almost surely, 2^463040640 is an apocalyptic number.

463040640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841744800).

463040640 is an abundant number, since it is smaller than the sum of its proper divisors (1220448960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463040640 is a wasteful number, since it uses less digits than its factorization.

463040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 463040640 is about 21518.3791211141. The cubic root of 463040640 is about 773.6414019001.

The spelling of 463040640 in words is "four hundred sixty-three million, forty thousand, six hundred forty".